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Journal Articles

Closure to “Discussion of ‘Extreme Events: Mechanisms and Prediction’” (Grigoriu, M. D., and Uy, W. I. T., ASME Appl. Mech. Rev., 2019, 71 (5), p. 055501)

Mohammad Farazmand, Themistoklis P. Sapsis
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Closures
Appl. Mech. Rev. September 2019, 71(5): 056001.
Paper No: AMR-19-1018
https://doi.org/10.1115/1.4043632
Published Online: September 19, 2019
View Article titled, Closure to “Discussion of ‘Extreme Events: Mechanisms and Prediction’” (Grigoriu, M. D., and Uy, W. I. T., ASME Appl. Mech. Rev., 2019, 71 (5), p. 055501)
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Topics: Degrees of freedom, Dynamic systems, Excitation, Nonlinear systems
Journal Articles

Nonlinear Dynamical Systems, Their Stability, and Chaos : Lecture notes from the FLOW-NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013

Amol Marathe, Rama Govindarajan
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Tutorial
Appl. Mech. Rev. March 2014, 66(2): 024802.
Paper No: AMR-13-1048
https://doi.org/10.1115/1.4026864
Published Online: March 24, 2014
View Article titled, Nonlinear Dynamical Systems, Their Stability, and Chaos : Lecture notes from the FLOW-NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013
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Topics: Bifurcation, Chaos, Flow (Dynamics), Limit cycles, Nonlinear systems, Stability, Dynamics (Mechanics), Phase space, Nonlinear dynamical systems, Turbulence
Journal Articles

Nonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments

Yuri V. Mikhlin, Konstantin V. Avramov
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. November 2010, 63(6): 060802.
https://doi.org/10.1115/1.4003825
Published Online: June 24, 2011
View Article titled, Nonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments
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Topics: Bifurcation, Stability, Vibration, Nonlinear systems, Resonance, Dynamic systems
Journal Articles

Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation

W. Q. Zhu
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. July 2006, 59(4): 230–248.
https://doi.org/10.1115/1.2193137
Published Online: July 1, 2006
View Article titled, Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation
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Topics: Bifurcation, Excitation, Noise (Sound), Nonlinear systems, Optimal control, Probability, Resonance, Stability, Dynamics (Mechanics), Stochastic systems
Journal Articles

Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory

L. Socha
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. May 2005, 58(3): 178–205.
https://doi.org/10.1115/1.1896368
Published Online: May 27, 2005
View Article titled, Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory
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Topics: Density, Errors, Excitation, Linearization techniques, Nonlinear systems, Probability, White noise, Approximation, Stochastic systems, Linear systems
Journal Articles

Engineering System Dynamics: A Unified Graph-Centered Approach. Control Engineering Series

FT Brown, H Oz
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Book Reviews
Appl. Mech. Rev. September 2002, 55(5): B87–B88.
https://doi.org/10.1115/1.1497473
Published Online: September 11, 2002
View Article titled, Engineering System Dynamics: A Unified Graph-Centered Approach. Control Engineering Series
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Topics: Control engineering, Dynamics (Mechanics), Engineering systems and industry applications, Nonlinear systems, Linear systems, Systems engineering, Modeling
Journal Articles

Liapunov Functions and Stability in Control Theory. Lecture Notes in Control and Information Sciences 267

A Bacciotti, L Rosier, Zongli Lin
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Book Reviews
Appl. Mech. Rev. September 2002, 55(5): B88–B89.
https://doi.org/10.1115/1.1497474
Published Online: September 11, 2002
View Article titled, Liapunov Functions and Stability in Control Theory. Lecture Notes in Control and Information Sciences 267
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Topics: Control theory, Stability, Nonlinear systems
Journal Articles

Vibration of Strongly Nonlinear Discontinuous Systems. Foundations of Engineering Mechanics

VI Babitsky,, Author, VL Krupenin,, Author, J Angeles,, Reviewer
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Book Reviews
Appl. Mech. Rev. July 2002, 55(4): B65–B66.
https://doi.org/10.1115/1.1483348
Published Online: July 30, 2002
View Article titled, Vibration of Strongly Nonlinear Discontinuous Systems. Foundations of Engineering Mechanics
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Topics: Engineering mechanics, Vibration, Nonlinear systems
Journal Articles

Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998

C. S. Manohar, R. A. Ibrahim
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. May 1999, 52(5): 177–197.
https://doi.org/10.1115/1.3098933
Published Online: May 1, 1999
View Article titled, Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998
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Topics: Aerospace industry, Algebra, Algorithms, Boundary element methods, Composite materials, Eigenvalues, Finite element methods, Modeling, Nonlinear systems, Periodic structures
Journal Articles

Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model

David Yang Gao
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. November 1997, 50(11S): S64–S71.
https://doi.org/10.1115/1.3101852
Published Online: November 1, 1997
View Article titled, Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model
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Topics: Buckling, Deformation, Variational principles, Phase transitions, Bifurcation, Nonlinear systems, Potential energy, Shear (Mechanics), Stability, Stress
Journal Articles

Removal, Suppression, and Control of Chaos by Nonlinear Design

John F. Lindner, William L. Ditto
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. December 1995, 48(12): 795–808.
https://doi.org/10.1115/1.3005094
Published Online: December 1, 1995
View Article titled, Removal, Suppression, and Control of Chaos by Nonlinear Design
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Topics: Chaos, Design, Computer simulation, Feedback, Nonlinear dynamics, Nonlinear systems
Journal Articles

Destruction of Quasiperiodic Oscillations in Weakly Nonlinear Systems

Andrey B. Belogortsev, Dmitry M. Vavriv, Oleg A. Tretyakov
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. July 1993, 46(7): 372–384.
https://doi.org/10.1115/1.3120366
Published Online: July 1, 1993
View Article titled, Destruction of Quasiperiodic Oscillations in Weakly Nonlinear Systems
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Topics: Nonlinear systems, Oscillations, Chaos, Analytical methods
Journal Articles

Efficient Mode Superposition Method for Seismic Analysis of Nonlinear Systems

Roberto Villaverde, Melad M. Hanna
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. November 1991, 44(11S): S264–S272.
https://doi.org/10.1115/1.3121363
Published Online: November 1, 1991
View Article titled, Efficient Mode Superposition Method for Seismic Analysis of Nonlinear Systems
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Topics: Nonlinear systems, Seismic analysis, Equations of motion, Eigenvalues, Linear systems, Computers, Differential equations, Earthquakes, Stability, Stiffness
Journal Articles

Resonant Frequency Calculations Using a Hybrid Perturbation-Galerkin Technique

James F. Geer, Carl M. Andersen
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. November 1991, 44(11S): S76–S88.
https://doi.org/10.1115/1.3121376
Published Online: November 1, 1991
View Article titled, Resonant Frequency Calculations Using a Hybrid Perturbation-Galerkin Technique
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Topics: Resonance, Approximation, Nonlinear systems, Numerical analysis, Pendulums
Journal Articles

Analysis of Nonlinear Systems by Truncated Point Mappings

Ramesh S. Guttalu, Henryk Flashner
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. November 1989, 42(11S): S83–S92.
https://doi.org/10.1115/1.3152412
Published Online: November 1, 1989
View Article titled, Analysis of Nonlinear Systems by Truncated Point Mappings
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Topics: Nonlinear systems, Approximation, Limit cycles, Stability
Journal Articles

Vibration of Nonlinear Systems Under Additive and Multiplicative Random Excitations

Y. K. Lin, G. Q. Cai
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. November 1989, 42(11S): S135–S141.
https://doi.org/10.1115/1.3152382
Published Online: November 1, 1989
View Article titled, Vibration of Nonlinear Systems Under Additive and Multiplicative Random Excitations
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Topics: Nonlinear systems, Random excitation, Vibration, Excitation, Noise (Sound)